Introduction Algebra 1.1 Operations with numbers 1.2 Sequences and series 1.3 Binomial expansion 1.4 Complex number Module one exercises 2. Functions and equations 2.1 Evaluation and determination 2.2 Discussion of the properties of a function by its graph 2.3 Solving the equations and inequalities by graphing 2.4 Sketching the special functions 2.5 Transforming the functions 2.6 Other forms of the functions or relations Module two exercises 3. Trigonometry and geometry 3.1 Solutions of triangles and circles 3.2 Trigonometric functions and equations 3.3 Points and vectors 3.4 Angles，areas and distances 3.5 Lines and planes 3.6 Intersections and matrices Module three exercises Probabilities and statistics 4.1 Statistics 4.2 Regression 4.3 Probability distributions 4.4 Conf idence intervals for means 4.5 Hypothesis test 4.6 The chi-squared distribution Module four exercises Calculus 5.1 Equation of the tangent or the normal 5.2 Local extrema and point of inf lection(inf lexion) 5.3 Def inite integral 5.4 Area of the region enclosed 5.5 Volume of revolution about the x-axis or y-axis 5.6 Kinematics 5.7 Related rate of change 5.8 Limits and continuity 5.9 Differential equations Module f ive exercises Answers
[